Models of hierarchically constrained dynamics for glassy relaxation

R. G. Palmer, D. L. Stein, E. Abrahams, P. W. Anderson

    Research output: Contribution to journalArticle

    Abstract

    A class of models for relaxation in strongly interacting glassy materials is suggested. Degrees of freedom are divided into a sequence of levels such that those in level n+1 are locked except when some of those in level n find the right combination to release them, this representing the hierarchy of constraints in real systems. The Kohlrausch anomalous relaxation law, exp[-(t)2], emerges naturally, and a maximum time scale is found which exhibits a Vogel-Fulcher-type temperature dependence.

    Original languageEnglish (US)
    Pages (from-to)958-961
    Number of pages4
    JournalPhysical Review Letters
    Volume53
    Issue number10
    DOIs
    StatePublished - 1984

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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    Palmer, R. G., Stein, D. L., Abrahams, E., & Anderson, P. W. (1984). Models of hierarchically constrained dynamics for glassy relaxation. Physical Review Letters, 53(10), 958-961. https://doi.org/10.1103/PhysRevLett.53.958